Statistical Analysis and Hypothesis Testing: Regression, ANOVA, and Contingency Tables

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Statistical Analysis and Hypothesis Testing: Regression, ANOVA, andContingency Tables1.Consider the following partially completed computer printout for a regression analysis where thedependent variable is the price of a personal computer and theindependent variable is the size of thehard drive.Based on the information provided, what is the F statistic?About 8 .33Just over 2.35About 4.76About 69.54pointsQ U E S T I O N 21.The standard error of the estimate is a measure oftotal variation of theYvariable.the variation around the sample regression line.explained variation.

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the variation of theXvariable.4pointsQ U E S T I O N 33.Nintendo Sony would like to test the hypothesis that a difference exists in the averageage ofusers of a Wii, a PlayStation, or an Xbox console game. The following datarepresent the age of a random sample of Wii, PlayStation, and Xbox users.WiiPlayStationXbox372631312120472438292431362530Usingα= 0.05, theconclusion for this hypothesis test would be that because the teststatistic ismore than the critical value, we cannot conclude that there is adifference in theaverage age of users of a Wii, a PlayStation, or an Xbox console game.less than the critical value, we cannot conclude that there is a difference in theaverage age of users of a Wii, a PlayStation, or an Xbox console game.more than the critical value, we can conclude thatthere is a difference in theaverage age of users of a Wii, a PlayStation, or an Xbox console game.less than the critical value, we can conclude that there is a difference in the averageage of users of a Wii, a PlayStation, or an Xbox console game.4pointsQ U E S T I O N 4

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1.The relationship of Y to four other variables was established as Y = 12 + 3X1-5X2 + 7X3 + 2X4.When X1 increases 5 units and X2 In a sample of n = 23, the Student's t test statistic for a correlation ofr = .500 would be:2.5592.8192.646can’tsaywithoutknowingα(alpha)4pointsQ U E S T I O N 51.Given the following ANOVA table (some information is missing), find the F statistic.3.710.990.4974.024pointsQ U E S T I O N 61.Examine the following two-factor analysis of variance table:

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Complete the analysis of variance table.MSA = 40.928, F Factor A =3.35, SSB = 85.35, Factor B df = 3, F Factor B = 2.316, MSAB =21.859, F Factor AB = 1.8, SSE = 789.29, SSE df = 66, MSE = 12.143MSA = 40.928, F Factor A = 3.35, SSB = 85.35, Factor B df = 4, F Factor B = 2.316, MSAB =21.859, F Factor AB = 2.1 SSE = 789.29, SSE df =66, MSE = 12.143MSA = 40.698, F Factor A = 3.35, SSB = 84.35, Factor B df = 5, F Factor B = 2.316, MSAB =21.859, F Factor AB = 2.1, SSE = 789.29, SSE df = 65, MSE = 12.143MSA = 40.698, F Factor A = 3.35, SSB = 84.35, Factor B df = 3, F Factor B = 2.316, MSAB =21.859, F Factor AB = 1.8, SSE =789.29, SSE df = 65, MSE = 12.1434pointsQ U E S T I O N 71.The critical value for a two-tailed test of H0: ß1 = 0 at a (alpha) =.05 in a simpleregression with 22 observations is:+ or-1.725+ or-2.086+ or-2.528+ or-1.9604points

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Q U E S T I O N 81.A regression equation that predicts the price of homes in thousands of dollars is t = 24.6 + 0.055x1-3.6x2, where x2 is a dummy variable that represents whether the house in on a busy street or not. Herex2 = 1means the house is on a busy street and x2 = 0 means it is not. Based on this information, whichof the following statements is true?On average, homes that are on busy streets are worth $3600 less than homes that are not on busystreets.On average, homes that are on busy streets are worth $3.6 less than homes that are not on busystreets.On average, homes that are on busy streets are worth $3600 more than homes that are not on busystreets.On average, homes that are on busy streets are worth $3.6 more than homes that are not on busystreets.4pointsQ U E S T I O N 91.The variation attributable to factors other than the relationship between the independentvariables andthe explained variable in a regression analysis is represented byregression sum of squares.error sum of squares.total sum of squares.regression mean squares.4pointsQ U E S T I O N 1 01.Degrees of freedom for the between-group variation in a one-factor ANOVA with n1 =8, n2 = 5, n3 = 7, n4 = 9 would be:28

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32944pointsQ U E S T I O N 1 11.A hypothesis test is conducted at the 5 percent level of significance to test whether thepopulation correlation is zero. If the sample consists of 25 observations and thecorrelation coefficient is 0.60, then the computed test statistic would be:2.0711.9603.5971.6454pointsQ U E S T I O N 1 21.A two-factoranalysis of variance is conducted to test the effect that price and advertising have on salesof a particular brand of bottled water. Each week a combination of particular levels of price andadvertising are used and the sales amount is recorded. The computer results are shown below.Based on the results above and a 0.05 level of significance, which of the following is correct?There is no interaction between price and advertising, so results for individual factors may be

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